Monogamy is a fundamental property of Bell nonlocality and contextuality. In this article, we study the $n$-cycle noncontextual inequalities and generalized Clauser-Horne-Shimony-Holt (CHSH) inequalities in detail and find sufficient conditions for those inequalities to hold. According to those conditions, we provide several kinds of tradeoff relations: monogamy of generalized Bell inequalities in a nonsignaling framework, monogamy of cycle-type noncontextual inequalities, and monogamy between Bell inequalities and noncontextual inequalities in a general no-disturbance framework. Finally, some generic tradeoff relations of generalized CHSH inequalities for $n$-party physical systems, which are beyond the one-to-many scenario, are discussed.

• Received 20 May 2016

DOI:https://doi.org/10.1103/PhysRevA.94.012111